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Answer:
6in
Step-by-step explanation:
Midsegment thrm: half the sum if the lengths of the bases
32= 1/2(58+x)
32=29+ 1/2x
3= 1/2x
6=x
Answer:
(a) 10x^2−x−21
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW . . . . . where L is the length, and W is the width
__
The area of the given rectangle will be ...
A = (2x -3)(5x +7)
This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.
A = 2x(5x +7) -3(5x +7)
= (2x)(5x) +(2x)(7) -3(5x) -3(7)
= 10x^2 +14x -15x -21
A = 10x^2 -x -21
The expression 10x^2 -x -21 represents the area of the rectangle in square inches.
Hi there!
Begin by distributing the 5:
5(2x) + 5(-12) = -90
Simplify:
10x - 60 = -90
Add 60 to both sides:
10x = -90 + 60
10x = -30
Divide both sides by 10:
x = -3